7g^2-3=-7g

Solution for 7g^2-3=-7g equation:

7g^2-3=-7g

We move all terms to the left:

7g^2-3-(-7g)=0

We get rid of parentheses

7g^2+7g-3=0

a = 7; b = 7; c = -3;
Δ = b2-4ac
Δ = 72-4·7·(-3)
Δ = 133
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{133}}{2*7}=\frac{-7-\sqrt{133}}{14}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{133}}{2*7}=\frac{-7+\sqrt{133}}{14}
$